Explain how modeling partial products can be used to find the products of greater numbers

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How modeling partial products are used to find products of greater numbers?

To make it easier to multiply

Modeling partial products is a strategy that can be used to simplify the process of multiplying larger numbers. It involves breaking down the multiplication problem into smaller, more manageable parts or partial products, and then adding them together to get the final product.

To understand how modeling partial products works, let's consider an example where we need to find the product of 63 and 27.

First, we break down each number into its place values:

63 = 60 + 3
27 = 20 + 7

Next, we multiply each place value of one number with each place value of the other number. We start with the ones' place and then move on to the tens' place:

3 x 7 = 21 (partial product for ones' place)
6 x 7 = 42 (partial product for tens' place)
3 x 20 = 60 (partial product for ones' place)
6 x 20 = 120 (partial product for tens' place)

Finally, we add all the partial products together:

21 (ones' place) + 42 (tens' place) + 60 (tens' place) + 120 (hundreds' place) = 243

So, the product of 63 and 27 is 243.

By modeling partial products, we can simplify the multiplication process by breaking it down into smaller multiplications and additions. This approach can be especially helpful when multiplying larger numbers, as it allows us to break the problem into more manageable parts and avoid making multiplication errors.

Easier top multiply.

How modeling partial can be used to find the product of greater numbers

How partial products can be used to find the products of greater number

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